In this paper, we establish four SLOCC equations and construct four SLOCC
polynomials (not complete) of degree \(2^{n/2}\)  for any even \(n\)  qubits. The
equations are obtained from the polynomials (determinants) of the
coefficients of the two SLOCC equivalent states by induction via direct
manipulation of SLOCC definition. For \(n=4\) , the SLOCC polynomials of degree
\(2^{n/2}\)  reduce to the polynomials of degree 4 in [1]}. In light
of the SLOCC equations, we propose several different genuine SLOCC
entanglement classes of even \(n\)  qubits and show that they are inequivalent
to the \(|GHZ\rangle \) , \(|W\rangle \) , or \(|l,n\rangle \)  (the symmetric Dicke
states with \(l\)  excitations) SLOCC classes via the vanishing or not of the
polynomials.
